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Консультация № 196541
02.10.2019, 21:34
0.00 руб.
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2
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Тела бросают вертикально вверх с одинаковой скоростью на Луне и на Земле. Сравните, где и во сколько раз больше:
1) Максимальная высота подъёма;
2) Время, через которое тела снова вернуться на поверхность Земли (Луны).
Сделать рисунок.
Тела бросают вертикально вверх с одинаковой скоростью на Луне и на Земле. Сравните, где и во сколько раз больше:
1) Максимальная высота подъёма;
2) Время, через которое тела снова вернуться на поверхность Земли (Луны).
Сделать рисунок.
Обсуждение
03.10.2019, 04:03
общий
это ответ
Здравствуйте, dar777!
Будем считать, что на тело, брошенное вертикально вверх, действует только сила тяжести, направленная вертикально вниз и определяемая ускорением свободного падения g. Тогда при начальной скорости броска V[sub]0[/sub] зависимость скорости движения от времени определяется формулой
Максимальная высота подъёма достигается при V = 0, откуда время подъёма будет равно
Зависимость высоты тела от времени определяется формулой
откуда максимальная высота подъёма будет равна
Поскольку время свободного падения тела с максимальной высоты равно времени подъёма на неё, то тело вернётся на поверхность через время
Из двух последних формул видно, что максимальная высота подъёма и время возвращения тела на поверхность обратно пропорциональны ускорению свободного падения. Поскольку на Луне ускорение свободного падения примерно в 6 раз меньше, чем на Земле, то максимальная высота подъёма и время возвращения будут там в 6 раз больше.
Будем считать, что на тело, брошенное вертикально вверх, действует только сила тяжести, направленная вертикально вниз и определяемая ускорением свободного падения g. Тогда при начальной скорости броска V[sub]0[/sub] зависимость скорости движения от времени определяется формулой
Максимальная высота подъёма достигается при V = 0, откуда время подъёма будет равно
Зависимость высоты тела от времени определяется формулой
откуда максимальная высота подъёма будет равна
Поскольку время свободного падения тела с максимальной высоты равно времени подъёма на неё, то тело вернётся на поверхность через время
Из двух последних формул видно, что максимальная высота подъёма и время возвращения тела на поверхность обратно пропорциональны ускорению свободного падения. Поскольку на Луне ускорение свободного падения примерно в 6 раз меньше, чем на Земле, то максимальная высота подъёма и время возвращения будут там в 6 раз больше.
5
Это самое лучшее решение!
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